Yes.
Here are the rules for a dice game:
The player can chose to throw two dice, which randomly select a number 2 through 12, or to throw the 11-sided die, which also randomly selects a number 2 through 12. But the distribution of numbers is different for each choice.
Here are the first four rounds of a game:
The Computer tosses: 10 Toss 1 eleven-sided die, or 2 six-sided dice (enter 1 or 2)? 1 You throw 1 die and get: 7 You loose the round! Score: computer 1, you 0 The Computer tosses: 4 Toss 1 eleven-sided die, or 2 six-sided dice (enter 1 or 2)? 2 You throw 2 dice and get: 9 You win the round! Score: computer 1, you 1 The Computer tosses: 10 Toss 1 eleven-sided die, or 2 six-sided dice (enter 1 or 2)? 1 You throw 1 die and get: 3 You loose the round! Score: computer 2, you 1 The Computer tosses: 5 Toss 1 eleven-sided die, or 2 six-sided dice (enter 1 or 2)? 2 You throw 2 dice and get: 5 You loose the round! Score: computer 3, you 1
Eleven-sided dice are hard to find in the real world. If you want to play this game with physical dice use a twelve-sided or sixteen-sided die (which do exist, ask any Dungeon Master) and discard rolls other than 2 through 12.
What advantage does the computer have in this game?
What advantage does the player have in this game?